广义平衡问题与非扩张映象不动点问题公解的一个新迭代方法

A New Iterative Method for Finding Common Solutions of Generalized Equilibrium Problem and Fixed Point Problem in Hilbert Spaces

中文关键词:  非扩张映象  广义平衡问题  变分不等式  连续单调映象.

英文关键词:nonexpansive mapping  generalized equilibrium problem  variational inequality  continuous monotone mapping.

中文摘要:

      关于广义平衡问题与非扩张映象不动点问题的公解,本文在 Hilbert空间中,给出了一个新的迭代方法.在适当的条件下,证明了一些强收敛定理.本文结果也推广和改进了最近一些人的最新结果.

英文摘要:

      In this paper, we introduce a new iterative scheme for finding a common element of the set of solutions for a generalized equilibrium problems and the set of fixed points for nonexpansive mappings in Hilbert space. Under suitable conditions, some strong convergence theorems are proved. Our results extend and improve some recent results.